Answer:
An equation for the nth term of the arithmetic sequence.
[tex]a_n=3n-1[/tex]
Step-by-step explanation:
Given the sequence
2,5,8,11,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
here
a₁ = 2computing the differences of all the adjacent terms
d = 5-2 = 3, d = 8-5=3, d=11-8=3Using the nth term formula
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 2, d = 3
[tex]a_n=2+\left(n-1\right)3[/tex]
[tex]=2+3n-3[/tex]
[tex]=3n-1[/tex]
Thus, an equation for the nth term of the arithmetic sequence.
[tex]a_n=3n-1[/tex]
Please help!!! Thank you!!!
Answer:
1. 180° ∑triangle angles=180°
2. 2x
3. 52°
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa. Which city gets more rain and how much more?
Answer:
Miami gets 6.12 inches more rainfall.
Step-by-step explanation:
Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,
So, the total rainfall in Miami in 5 months,
R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches
and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.
The total rainfall in Tampa in 5 months,
R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.
The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.
The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.
Therefore, Miami gets 6.12 inches more rainfall during the same time period.
What is the greatest cornron foctor (Gc) of 15 and 64?
The GCF of 15 and 64 is 1.
NEED ANSWER ASAP PLEASE TYSM
Answer:
1
Step-by-step explanation:
the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one
hopefully this is right
in standard form is 63,029
Answer:
60000 + 3000 + 29
Step-by-step explanation:
The Standard form of 63029 is
60000 + 3000 + 29
-TheUnknownScientist
Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?
Answer:
A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:
x1,y1= (-2, 4)
x2,y2= (-1,1)
To make the angle 90 degrees, there is two possible third point coordinate:
1. x1, y2 = (-2,1)
2. x2, y1= (-1,4)
The right triangle would be option C: (-2,1)
Option A and B is not a right triangle
Step-by-step explanation:
Answer:
the coordinates of vertex E is (6,0)
C(2,0),compare this to(2,4)
same x.but y=0
(6,0)comparing to (6,12)
we get it
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years
whats the answeer giving brainliest
Answer:
B
Step-by-step explanation:
3+5+7=3+7+5
A room is 12m 15m long and 8m 91 cm broad .The floor of the room is tobe paved with squared tiles find the lenght of the largest tile that can be used
Answer:
81 cm
Step-by-step explanation:
Length of a room = 12m 15cm
Width of a room = 8 m 91 cm
12 m 15 cm = 1200 cm + 15 cm = 1215 cm
8 m 91 cm = 800 cm + 91 cm = 891 cm
The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.
To find it we can find the HCF of 1215 cm and 891 cm.
Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5
Prime factorization of 891 = 3 x 3 x 3 x 3 x 11
HCF = 3 x 3 x 3 x 3
= 81
Hence, the length of the largest tile that can be used is 81 cm.
PLEASE HELP URGENT 15 POINTS
Step-by-step explanation:
I guess its 1/3 ??........
which point is the incenter of angle DEF
Divide the polynomials.
25 points!!!!! right answer get's brainliest
Answer:
x - 2
Step-by-step explanation:
[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]
What is the answer to the question?
Help help help help me
This is very important (◕દ◕)
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
The repeating decimals are both single digits, beginning at the decimal point. So, their equivalent is that digit divided by 9:
[tex]0.\overline{4}=\dfrac{4}{9}\\\\0.\overline{9}=\dfrac{9}{9}=1[/tex]
This means the given expression can be simplified to ...
[tex]\dfrac{3\sqrt{0.\overline{4}}+\sqrt{0.\overline{9}}}{\sqrt{3}}=\dfrac{3\sqrt{\dfrac{4}{9}}+\sqrt{\dfrac{9}{9}}}{\sqrt{3}}=\dfrac{3\cdot\dfrac{2}{3}+1}{\sqrt{3}}=\dfrac{3}{\sqrt{3}}=\boxed{\sqrt{3}}[/tex]
the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1
Answer:
equation 1
y = -2x
equation 2
y = x-3
Solution to both
(1,-2)
Step-by-step explanation:
We need to get the equations of both lines
General form is;
y = mx + c
where m is slope and c is the y-intercept
Table 1
since we have a point 0,0; the y-intercept here is zero
Let us get the slope. We can do this by selecting any two points
m = (y2-y1)/(x2-x1)
m = (2-10)/(-1+5) = -8/4 = -2
So the equation of the first line is;
y = -2x
Table 2
we get the slope
m = (4+2)/(7-1) = 6/6 = 1
The partial equation is;
y = x + c
To get c, we select any two point and substitute
4 = 7 + c
c = 4-7
c = -3
So the equation is;
y = x-3
To get the solution to both systems, we equate the y
-2x = x - 3
-2x-x = -3
-3x = -3
x = -3/-3
x = 1
To get y, we substitute;
recall; y = -2x
y = -2(1)
y = -2
Solution to the system is;
(1,-2)
7th grade math help me pleaseee
no, -6+2= -4
not -6 +(-2)
1/2% of 412
with work
Answer:
1.5% x 412 = 618?
Step-by-step explanation:
Answer:
103/50
Step-by-step explanation:
Simplify
1/2
100
(412)
33-(2c + 4) = 2(c + 7) +C
Answer:
c=3
Step-by-step explanation:
Translate the shape by the vector -1 5
Answer:
la forma por el vector -1 5
Step-by-step explanation:
A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?
Answer:
Each box weighs 0.18 kilogram.
Step-by-step explanation:
We can do proportions to solve.
[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]
Translate the following sentence into an inequality: Twice a number plus
two is less than the difference of x and six.
Answer:
hey your really cute thats all
Step-by-step explanation:
;) love you bubs see you someday, now
What is 4/5 divided by 3/7?
Answer:
0.0381 this should be the answer
Answer:
1 whole number 13 over 15
Step-by-step explanation:
4/5÷3/7
4/5*7/3
=1¹³/15
Which value is an output of the function?
O-6
O-2
O 4
O7
Which graph represents a relation that is also a function?
( look at the graph and help me pls )
Which table of ordered pairs represents a proportional relationship? PLEASE HELP MEEEE!!!!!!
20 POINTS I THINK
the answer is B
your welcome
Please I really need help!!!
As fast as possible!!!
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.
x/10 = 9/6
x = 10(9/6) . . . . multiply by 10
x = 15
Christine needs to make a total of 40 deliveries this week. So far she has completed 14 of them . What percentage of her total deliveries has Christine completed?
Answer:
Christine has completed 35% of her total deliveries.
Step-by-step explanation:
To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:
40 → 100%
14 → x
x=(14*100)/40=35%
According to this, the answer is that Christine has completed 35% of her total deliveries.
Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest
Step-by-step explanation:
4/3 = -6e - 5/3
6e = -4/3 - 5/3
6e = -9/3 = -3
e = -0.5
Answer:
The equation is always false
Step-by-step explanation:
kolik má čtverec rohů
Answer:
4
Step-by-step explanation:
Which equation best represents the data shown in the scatter plot below?
Answer:
y=3/2x+3
Step-by-step explanation:
Answer:
y=3/2x+3
Step-by-step explanation:
Complete the explanation of how an estimate helps you to place the decimal point when multiplying 1.8 × 5.4.